物理学报
物理學報
물이학보
2013年
11期
303-311
,共9页
弹性微管%受迫振动%非线性振动%气泡声响应
彈性微管%受迫振動%非線性振動%氣泡聲響應
탄성미관%수박진동%비선성진동%기포성향응
elastic microtubule%nonlinear oscillations%forced oscillations%acoustical response of bubble
将弹性管壁视为膜弹性结构,探索在外部声场作用下弹性微管内液柱-气泡-管壁构成耦合振动系统的非线性特征.利用逐级近似法对系统非线性共振频率、基频和三倍频振动幅值响应、分频激励共振机理等进行了理论分析.基频和三倍频振动的幅-频响应数值结果表明:气泡的轴向共振和管壁共振不能同时出现;两垂直方向的振动均表现出幅值响应多值性,进而可能引起系统的不稳定声响应;三倍频振动在低频区的声响应强于高频区.
將彈性管壁視為膜彈性結構,探索在外部聲場作用下彈性微管內液柱-氣泡-管壁構成耦閤振動繫統的非線性特徵.利用逐級近似法對繫統非線性共振頻率、基頻和三倍頻振動幅值響應、分頻激勵共振機理等進行瞭理論分析.基頻和三倍頻振動的幅-頻響應數值結果錶明:氣泡的軸嚮共振和管壁共振不能同時齣現;兩垂直方嚮的振動均錶現齣幅值響應多值性,進而可能引起繫統的不穩定聲響應;三倍頻振動在低頻區的聲響應彊于高頻區.
장탄성관벽시위막탄성결구,탐색재외부성장작용하탄성미관내액주-기포-관벽구성우합진동계통적비선성특정.이용축급근사법대계통비선성공진빈솔、기빈화삼배빈진동폭치향응、분빈격려공진궤리등진행료이론분석.기빈화삼배빈진동적폭-빈향응수치결과표명:기포적축향공진화관벽공진불능동시출현;량수직방향적진동균표현출폭치향응다치성,진이가능인기계통적불은정성향응;삼배빈진동재저빈구적성향응강우고빈구.
The wall of elastic microtubules can be described as a membrane-type elastic structure. An oscillating system driven by ultrasound consists of liquid columns, a bubble and elastic wall of the tube. The nonlinear properties of this system are explored. Based on the successive approximation method, the nonlinear resonance frequencies, the amplitude response of fundamental and third oscillations to driving acoustic wave, and the mechanism of resonance response related to the driving wave whose frequency is lower than the resonant frequency are analyzed theoretically. The nonlinear system is oscillating in two directions: the axial and radial directions of the bubble in the microtubule. Numerical results show that the resonance responses cannot be present simultaneously. It has been found that the amplitudes of the fundamental and third harmonic oscillation are multivalued, which may lead to instable response. The third harmonic oscillation is stronger in the region of lower frequencies.